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Finding the Fourth Proportional to 31.95, 47.69 and 27.70

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Solution

The fourth proportional to 31.95, 47.69 and 27.70 is: 41.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.95 : 47.69 = 27.70 : x
  2. Step 2: Convert to fraction form
    31.95/47.69 = 27.70/x
  3. Step 3: Cross multiply
    31.95x = 47.69 × 27.70
  4. Step 4: Simplify right side
    31.95x = 1,321.01
  5. Step 5: Solve for x
    x = 1,321.01/31.95
  6. Step 6: Final answer
    x = 41.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.